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zepelin [54]
3 years ago
13

13. The numerator of a rational number is 3 less than the denominator. If the denominator is

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Fraction = 4/7

Step by step Explanation

Let the denominator be x.

Numerator = 3 less than denominator

denominator = x

Numerator = (x – 3)

Now, Adding 5 to denominator

adding 2 to numerator.

Numerator = (x – 3 + 2)

Denominator = (x + 5)

(x – 3 + 2)/(x + 5)

According to the question

 (x – 3 + 2)/(x + 5) = 1/2

(x – 1)/(x + 5) = 1/2

2(x – 1) = 1(x + 5)

2x – 2 = x + 5

2x – x = 5 + 2

x = 7

So,

=> Denominator x = 7

=> Numerator (x – 3) => (7 – 3) = 4

= > Fraction = 4/7

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Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

P(c \leq X \leq d) = \frac{d - c}{b-a}

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that a = 8, b = 15.8

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d = 12, c = 9.7.

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P(c \leq X \leq d) = \frac{d - c}{b-a}

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3 years ago
An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and
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The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

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2 years ago
work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
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Answer:

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(d) The probability that John stays​ home is 0.60.

Step-by-step explanation:

It is provided that :

Marco (<em>M</em>), Roberto (<em>R</em>), John (<em>J</em>), Dominique (<em>D</em>) and Clarice (<em>C</em>) works for the company.

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There are 5 employees from which the company has to select two employees to send to the conference.

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MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC

(b)

The probability of the event <em>E</em> is:

P(E)=\frac{n(E)}{N}

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Thus, the probability that Roberto and John attend the​ conference is 0.10.

(c)

The favorable outcomes of the event where Clarice attends the conference are:

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P(C)=\frac{n(C)}{N}=\frac{4}{10}=0.40

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n (J') = MR, MD, MC, RD, RC, DC

Compute the probability that John stays​ home as follows:

P(J')=\frac{n(J')}{N}=\frac{6}{10}=0.60

Thus, the probability that John stays​ home is 0.60.

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